Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3⁴:M₁₀

Name:

3^4:m10

Group order:

58320 = 2⁴ ⋅ 3⁶ ⋅ 5

Number of classes:

18

InfoText value:

origin: CAS library, maximal subgroup of mcl structure:= 3^4:m10 1st & 2nd orthogonality relations are satisfied symmetric squares decompose properly created 30/01/1985 tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasStabilizer( "McL", "McLG1-p15400bB0" ), AtlasSubgroup( "McL", 6 ), PrimitiveGroup( 81, 136 ), TransitiveGroup( 30, 1257 )

Stored class fusions from this table:

3⁴:(M₁₀ × 2), A₆.2₃, M^cL, U₄(3).2₃

Stored class fusions to this table:

3⁴.3².Q₈, 3⁴:A₆, 3⁵:M₁₀, A₆.2₃

File created automatically by GAP on 13-Mar-2024.